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On solution of ordinary differential equations by using HWCM, ADM and RK4

Author

Listed:
  • Yasemin Bakir

    (Department of Computer Engineering, DoÄŸuÅŸ University, Istanbul, Turkey)

  • Oya Mert

    (Department of Mathematics, Tekirdağ Namık Kemal University, Tekirdağ, Turkey)

Abstract

The Haar wavelet collocation approach (HWCM) is an impressive numerical method for solving linear initial value problems when compared to the existing numerical methods (Adomian decomposition method (ADM) & Runge–Kutta method (RK4)). The objective of this study is to use the Haar-wavelet technique, Adomian decomposition technique (ADM) and Runge–Kutta (RK4) method to achieve the numerical solution of second-order ordinary differential equations. The proposed methods are applied to three different problems and the numerical results show that the HWCM has better agreement with analytic solutions than the other numerical methods.

Suggested Citation

  • Yasemin Bakir & Oya Mert, 2022. "On solution of ordinary differential equations by using HWCM, ADM and RK4," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(10), pages 1-11, October.
    • Handle: RePEc:wsi:ijmpcx:v:33:y:2022:i:10:n:s0129183122501352
    DOI: 10.1142/S0129183122501352
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    Cited by:

    1. Safyan Mukhtar & Taza Gul, 2023. "Solar Radiation and Thermal Convection of Hybrid Nanofluids for the Optimization of Solar Collector," Mathematics, MDPI, vol. 11(5), pages 1-13, February.

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